A genetic algorithm (GA) has been used to demonstrate a new hybrid method for nonlinear microwave circuit analysis: frequency-domain sample balance (FDSB). As in harmonic balance, FDSB updates voltages in the frequency domain, and analyses the linear and nonlinear subcircuits in the frequency-and time-domains respectively. However, the error currents are evaluated in the time domain. This is made possible by the use of a genetic algorithm. It means that unlike conventional harmonic balance, no Fourier transforms are required. This makes the simulation of circuits with a large number of incommensurate multitone inputs feasible. Moreover, the method dispenses with the need for both a Jacobian matrix (as used in most harmonic balance simulators) and a good initial guess. Results are presented for both single-tone and multitone input signals. In all cases, the FDSB algorithm demonstrates robust convergence properties, regardless of starting conditions.
[1]
Zbigniew Michalewicz,et al.
Genetic Algorithms + Data Structures = Evolution Programs
,
1992,
Artificial Intelligence.
[2]
Paulo Jose Cunha Rodrigues,et al.
Computer-Aided Analysis of Nonlinear Microwave Circuits
,
1997
.
[3]
Stavros Iezekiel,et al.
Application of genetic algorithm to sample balance analysis of nonlinear circuits
,
1998
.
[4]
Jose C. Pedro,et al.
Multitone frequency-domain simulation of nonlinear circuits in large- and small-signal regimes
,
1998
.
[5]
A. Neri,et al.
State of the art and present trends in nonlinear microwave CAD techniques
,
1988
.
[6]
G. Haddad,et al.
An efficient Fourier transform algorithm for multitone harmonic balance
,
1999
.